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Beyond Pythagoras Pythagoras Theorem is a² + b² = c². 'a' being the shortest side, 'b' being the middle side and 'c' being the longest side (which is always the hypotenuse) of a right angled triangle. The numbers 3, 4 and 5 satisfy this condition: 3² + 4² = 5² because 3² = 3 x 3 = 9 4² = 4 x 4 = 16 5² = 5 x 5 = 25 and so 3² + 4² = 9 + 16 = 25 = 5² We also checked to see if similar sets of numbers also satisfy this condition: (smallest number)² + (middle number)² = (largest number)² The numbers 5, 12 and 13 also satisfy this condition: 5² + 12² = 13² because 5² = 5 x 5 = 25 12² = 12 x 12 = 144 13² = 13 x 13 = 169 and so 5² + 12² = 25 + 144 = 169 = 13² The...

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